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Finding the Fourth Proportional to 140,994, 211,468.32 and 41,130.72

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Solution

The fourth proportional to 140,994, 211,468.32 and 41,130.72 is: 61,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,994 : 211,468.32 = 41,130.72 : x
  2. Step 2: Convert to fraction form
    140,994/211,468.32 = 41,130.72/x
  3. Step 3: Cross multiply
    140,994x = 211,468.32 × 41,130.72
  4. Step 4: Simplify right side
    140,994x = 8,697,844,258.79
  5. Step 5: Solve for x
    x = 8,697,844,258.79/140,994
  6. Step 6: Final answer
    x = 61,689.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.